Abstract

We study a minimal integrate-and-fire based model of a "ghostbursting" neuron under periodic stimulation. These neurons are involved in sensory processing in weakly electric fish. There exist regions in parameter space in which the model neuron is mode-locked to the stimulation. We analyse this locked behavior and examine the bifurcations that define the boundaries of these regions. Due to the discontinuous nature of the flow, some of these bifurcations are nonsmooth. This exact analysis is in excellent agreement with numerical simulations, and can be used to understand the response of such a model neuron to biologically realistic input.

Item Type:

Article

Additional Information:

To appear in the International Journal of Bifurcation and Chaos

Keywords:

ghostbursting, mode-locking, Arnol'd tongues, integrate-and-fire

Schools/Departments:

University of Nottingham UK Campus > Faculty of Science > School of Mathematical Sciences